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Finding the Third Proportional to 23.58 and 50.95

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Solution

The third proportional to 23.58 and 50.95 is: 110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.58 : 50.95 = 50.95 : x
  2. Step 2: Convert to fraction form
    23.58/50.95 = 50.95/x
  3. Step 3: Cross multiply
    23.58x = 50.95 × 50.95
  4. Step 4: Simplify right side
    23.58x = 2,596.22
  5. Step 5: Solve for x
    x = 2,596.22/23.58
  6. Step 6: Final answer
    x = 110.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.